10200010002111 has 12 divisors (see below), whose sum is σ = 15131546369992. Its totient is φ = 6616222703856.

The previous prime is 10200010002059. The next prime is 10200010002163. The reversal of 10200010002111 is 11120001000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10200010002059) and next prime (10200010002163).

It is not a de Polignac number, because 10200010002111 - 2²² = 10200005807807 is a prime.

It is a super-3 number, since 3×10200010002111³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200010002093 and 10200010002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200010003111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15315330001 + ... + 15315330666.

Almost surely, 2^{10200010002111} is an apocalyptic number.

10200010002111 is a deficient number, since it is larger than the sum of its proper divisors (4931536367881).

10200010002111 is a wasteful number, since it uses less digits than its factorization.

10200010002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30630660710 (or 30630660707 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200010002111 its reverse (11120001000201), we get a palindrome (21320011002312).

The spelling of 10200010002111 in words is "ten trillion, two hundred billion, ten million, two thousand, one hundred eleven".